English

$p$-adic interpolation of square roots of central $L$-values of modular forms

Number Theory 2012-11-06 v1

Abstract

We construct a meromorphic function on the eigencurve that interpolates a square root of the ratio of the central values of two quadratic twists of the LL-function at classical points.

Keywords

Cite

@article{arxiv.1211.0561,
  title  = {$p$-adic interpolation of square roots of central $L$-values of modular forms},
  author = {Nick Ramsey},
  journal= {arXiv preprint arXiv:1211.0561},
  year   = {2012}
}